Irreducibility of Theta Lifting for Unitary Groups

Abstract

This article shows that for unitary dual reductive pairs the first occurrence of theta lift of an irreducible cuspidal automorphic representation is irreducible. It also proves a refined tower property for theta lifts and the involutive property for twisted theta lifts.

arXiv commentJournal of Number Theory 2013

Cited by in corpus (6)

• Poles of Eisenstein series and theta lifts for unitary groups
• On $(\chi ,b)$-factors of Cuspidal Automorphic Representations of Unitary Groups I
• Fourier-Jacobi cycles and arithmetic relative trace formula (with an appendix by Chao Li and Yihang Zhu)
• Theta correspondence and simple factors in global Arthur parameters
• On the Gan-Gross-Prasad conjecture and its refinement for $\left(\mathrm{U}\left(2n\right),\mathrm{U}\left(1\right)\right)$
• Theta lifting for loop groups